5656972800 has 240 divisors, whose sum is σ = 18814688640. Its totient is φ = 1498275840.

The previous prime is 5656972787. The next prime is 5656972807. The reversal of 5656972800 is 82796565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5656972800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656972807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6873189 + ... + 6874011.

It is an arithmetic number, because the mean of its divisors is an integer number (78394536).

Almost surely, 2^5656972800 is an apocalyptic number.

5656972800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5656972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407344320).

5656972800 is an abundant number, since it is smaller than the sum of its proper divisors (13157715840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5656972800 is a wasteful number, since it uses less digits than its factorization.

5656972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 5656972800 is about 75212.8499659466. The cubic root of 5656972800 is about 1781.8098832171.

The spelling of 5656972800 in words is "five billion, six hundred fifty-six million, nine hundred seventy-two thousand, eight hundred".